Yes. Immediately after you finish your Live video, you'll have the option to delete it from your Facebook timeline. You can also go back to your profile anytime to delete any of your older Live videos, just as you would delete any other post.

As with any other post, you control whether your location is shared when you go Live. If you have Location Services enabled, you can tag the location of your broadcast before you start broadcasting. If you don't want your location shared, do not add your location to your broadcast before you go Live.

If you don't see the Live icon on your home screen, first make sure your Facebook app and mobile phone OS are up to date. If you still don't see it, just tap ‘What’s on your mind?’ at the top of News Feed on mobile and look for the Live icon there. A small number of people may still not have access to Live for a few reasons (like having an older device).